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Three circles, with centers of Γ1\Gamma_1Γ1, Γ2\Gamma_2Γ2, Γ3\Gamma_3Γ3, are externally tangential to each other. The radius of these circles are 10, 12 and 24 respectively, What is the perimeter of △Γ1Γ2Γ3\triangle\Gamma_1\Gamma_2\Gamma_3△Γ1Γ2Γ3?
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